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Cod sursa(job #63564)
#include <stdio.h>
#include <stdlib.h>
#define NPUNCTE 1000L
struct punct { int x, y; };
struct segment { punct p1, p2; };
int sfunc (const void * s1, const void * s2) {
segment * ss1=(segment *)s1;
segment * ss2=(segment *)s2;
long a = ss1->p2.y - ss1->p1.y;
long b = ss1->p2.x - ss1->p1.x;
if (b<0) {a=-a; b=-b;};
long c = ss2->p2.y - ss2->p1.y;
long d = ss2->p2.x - ss2->p1.x;
if (d<0) {c=-c; d=-d;};
return (a*d - b*c);
// return ( (ss1->p2.y - ss1->p1.y)*(ss2->p2.x-ss2->p1.x) <
// (ss1->p2.x - ss1->p1.x)*(ss2->p2.y-ss2->p1.y) );
// return ( (ss1->p1->x*ss2->y) - (ss1->y*ss2->x) );
};
long Combinanari(long n, long k) {
if (n<k) return 0;
else { long r=1;
for (long i=k+1; i<=n; i++) r*=i;
for (long i=1; i<=n-k; i++) r/=i;
return r;
};
};
segment seg[NPUNCTE*NPUNCTE]; long segs;
int main (void) {
FILE * fi = fopen("trapez.in","rt");
FILE * fo = fopen("trapez.out","wt");
long n;
fscanf(fi,"%ld",&n);
punct p[NPUNCTE];
for (int i=1; i<=n; i++) {
fscanf(fi,"%ld %ld",&p[i].x,&p[i].y);
};
for (int i=1; i<n; i++)
for (int j=i+1; j<=n; j++) {
seg[segs].p1=p[i];
seg[segs].p2=p[j];
segs++;
}
qsort(seg,segs,sizeof(segment),sfunc); //!!!
int pz=0; int off=0;
long rasp=0;
while (pz+off<=segs) {
while (sfunc(&seg[pz],&seg[pz+off])==0) {
off++;
};
rasp+=Combinanari(off,2);
pz=pz+off; off=0;
};
fprintf(fo,"%ld\n",rasp);
fclose(fi); fclose(fo);
};